diff --git a/src/solver/clause.rs b/src/solver/clause.rs
index 406e258..24931a8 100644
--- a/src/solver/clause.rs
+++ b/src/solver/clause.rs
@@ -6,6 +6,7 @@ use std::{
 };
 
 use elsa::FrozenMap;
+use itertools::Itertools;
 
 use crate::{
     internal::{
@@ -237,8 +238,7 @@ impl Clause {
     fn conditional(
         parent_id: VariableId,
         requirement: Requirement,
-        condition_variable: VariableId,
-        condition_version_set_id: VersionSetId,
+        condition_variables: Vec<VariableId>,
         decision_tracker: &DecisionTracker,
         requirement_candidates: impl IntoIterator<Item = VariableId>,
     ) -> (Self, Option<[Literal; 2]>, bool) {
@@ -246,8 +246,8 @@ impl Clause {
         let mut requirement_candidates = requirement_candidates.into_iter();
 
         let requirement_literal =
-            if decision_tracker.assigned_value(condition_variable) == Some(true) {
-                // then ~condition is false
+            if condition_variables.iter().all(|condition_variable| decision_tracker.assigned_value(*condition_variable) == Some(true)) {
+                // then all of the conditions are true, so we can require the requirement
                 requirement_candidates
                     .find(|&id| decision_tracker.assigned_value(id) != Some(false))
                     .map(|id| id.positive())
@@ -256,13 +256,13 @@ impl Clause {
             };
 
         (
-            Clause::Conditional(parent_id, condition_variable, requirement),
+            Clause::Conditional(parent_id, condition_variables, requirement),
             Some([
                 parent_id.negative(),
-                requirement_literal.unwrap_or(condition_variable.negative()),
+                requirement_literal.unwrap_or(condition_variables.first().unwrap().negative()),
             ]),
             requirement_literal.is_none()
-                && decision_tracker.assigned_value(condition_variable) == Some(true),
+                && condition_variables.iter().all(|condition_variable| decision_tracker.assigned_value(*condition_variable) == Some(true)),
         )
     }
 
@@ -308,9 +308,9 @@ impl Clause {
             Clause::Lock(_, s) => [s.negative(), VariableId::root().negative()]
                 .into_iter()
                 .try_fold(init, visit),
-            Clause::Conditional(package_id, condition_variable, _, requirement) => {
+            Clause::Conditional(package_id, condition_variables, requirement) => {
                 iter::once(package_id.negative())
-                    .chain(iter::once(condition_variable.negative()))
+                    .chain(condition_variables.iter().map(|c| c.negative()))
                     .chain(
                         requirements_to_sorted_candidates[&requirement]
                             .iter()
@@ -474,16 +474,14 @@ impl WatchedLiterals {
     pub fn conditional(
         package_id: VariableId,
         requirement: Requirement,
-        condition_variable: VariableId,
-        condition_version_set_id: VersionSetId,
+        condition_variables: Vec<VariableId>,
         decision_tracker: &DecisionTracker,
         requirement_candidates: impl IntoIterator<Item = VariableId>,
     ) -> (Option<Self>, bool, Clause) {
         let (kind, watched_literals, conflict) = Clause::conditional(
             package_id,
             requirement,
-            condition_variable,
-            condition_version_set_id,
+            condition_variables,
             decision_tracker,
             requirement_candidates,
         );
@@ -687,14 +685,16 @@ impl<'i, I: Interner> Display for ClauseDisplay<'i, I> {
                     other,
                 )
             }
-            Clause::Conditional(package_id, condition_variable, _, requirement) => {
+            Clause::Conditional(package_id, condition_variables, requirement) => {
                 write!(
                     f,
-                    "Conditional({}({:?}), {}({:?}), {})",
+                    "Conditional({}({:?}), {}, {})",
                     package_id.display(self.variable_map, self.interner),
                     package_id,
-                    condition_variable.display(self.variable_map, self.interner),
-                    condition_variable,
+                    condition_variables
+                        .iter()
+                        .map(|v| v.display(self.variable_map, self.interner))
+                        .join(", "),
                     requirement.display(self.interner),
                 )
             }